Geodesic
The Steiner Subratio in Banach Spaces
Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 188-197

Voir la notice de l'article provenant de la source Math-Net.Ru

For every $n=2,3,\dots$, the minimum of the Steiner subratio is found for $n$-point sets in Banach spaces, and an example of a Banach space is constructed for which this minimum is attained. An example of a Banach space for which the minimum possible Steiner subratio equals $1/2$ is also constructed.
Keywords: Banach space, shortest network, minimal filling, Steiner subratio. 
@article{MZM_2019_106_2_a2,
     author = {L. Burusheva},
     title = {The {Steiner} {Subratio} in {Banach} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {188--197},
     publisher = {mathdoc},
     volume = {106},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a2/}
}
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L. Burusheva. The Steiner Subratio in Banach Spaces. Matematičeskie zametki, Tome 106 (2019) no. 2, pp. 188-197. http://geodesic.mathdoc.fr/item/MZM_2019_106_2_a2/